In this work, we consider the one-predator-two-prey models with Holling type II functional response without competition between the two renewable base resource. We first establish the boundedness and positivity of solution with positive initial conditions. Then the existence and local stability of all boundary equilibria are clarified in ℝ3. Moreover, we use the death rate of predator 𝑑 as a parameter to classify the dynamics of system (1.2) as well as the existence and local stability of positive equilibrium. Finally, some numerical simulations are performed for each region of our classification.